We consider dynamic resource allocation processes in two-sided asymmetrical resource networks with loops and study their stabilization conditions. We show that for a unit total resource, the resource...

The review of a number of non-classical flow models and threshold models of spreading activity in a network is given. The description of flow models with nonstandard reachability is provided....

We study stabilization processes in resource networks with arbitrary topology for large values of the resource, when certain vertices accumulate the resource, and resource in these vertices exceeds...

This paper presents a discrete model of non-synaptic interactions between neurons, which are performed by special chemical agents, neurotransmitters. In this model, all signals are broadcast: each...

This work is devoted to methods of computing the limit state and the limit flow in a resource network for large values of the resource. To do so, we study resource distribution processes in families...